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Finding the Fourth Proportional to 1,492.01, 2,240.75 and 1,428.22

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Solution

The fourth proportional to 1,492.01, 2,240.75 and 1,428.22 is: 2,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.01 : 2,240.75 = 1,428.22 : x
  2. Step 2: Convert to fraction form
    1,492.01/2,240.75 = 1,428.22/x
  3. Step 3: Cross multiply
    1,492.01x = 2,240.75 × 1,428.22
  4. Step 4: Simplify right side
    1,492.01x = 3,200,283.97
  5. Step 5: Solve for x
    x = 3,200,283.97/1,492.01
  6. Step 6: Final answer
    x = 2,144.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.